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Finding the Fourth Proportional to 654.34, 981.80 and 243.39

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Solution

The fourth proportional to 654.34, 981.80 and 243.39 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.34 : 981.80 = 243.39 : x
  2. Step 2: Convert to fraction form
    654.34/981.80 = 243.39/x
  3. Step 3: Cross multiply
    654.34x = 981.80 × 243.39
  4. Step 4: Simplify right side
    654.34x = 238,960.30
  5. Step 5: Solve for x
    x = 238,960.30/654.34
  6. Step 6: Final answer
    x = 365.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.